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Finding the Fourth Proportional to 1,160.28, 1,602.45 and 787.88

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Solution

The fourth proportional to 1,160.28, 1,602.45 and 787.88 is: 1,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.28 : 1,602.45 = 787.88 : x
  2. Step 2: Convert to fraction form
    1,160.28/1,602.45 = 787.88/x
  3. Step 3: Cross multiply
    1,160.28x = 1,602.45 × 787.88
  4. Step 4: Simplify right side
    1,160.28x = 1,262,542.31
  5. Step 5: Solve for x
    x = 1,262,542.31/1,160.28
  6. Step 6: Final answer
    x = 1,088.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.